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Finding the Fourth Proportional to 83,527.84, 125,286.09 and 39,164.50

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Solution

The fourth proportional to 83,527.84, 125,286.09 and 39,164.50 is: 58,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,527.84 : 125,286.09 = 39,164.50 : x
  2. Step 2: Convert to fraction form
    83,527.84/125,286.09 = 39,164.50/x
  3. Step 3: Cross multiply
    83,527.84x = 125,286.09 × 39,164.50
  4. Step 4: Simplify right side
    83,527.84x = 4,906,767,071.81
  5. Step 5: Solve for x
    x = 4,906,767,071.81/83,527.84
  6. Step 6: Final answer
    x = 58,744.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.